Experimental realisation of Shor's quantum factoring algorithm using qubit recycling

E. Martin-Lopez, A. Laing, T. Lawson, R. Alvarez, X. Q. Zhou, J. L. O'Brien

Research output: Contribution to conferenceConference presentation/ephemerapeer-review

2 Citations (Scopus)

Abstract

Quantum algorithms are computational routines that exploit quantum mechanics to solve problems exponentially faster than the best classical algorithms. Shor's quantum factoring algorithm [1] is a key example and the prime motivator in the international effort to realise a quantum computer. However, due to the large number of resources required, to date, there have been only four small scale demonstrations [2-5]. Here we address this resource demand and demonstrate a scalable version of Shor's algorithm in which then qubit control register is replaced by a single qubit that is recycled n times: the total number of qubits is one third of that required in the standard protocol [6]. Encoding the work register in higher-dimensional states, we implement a two-photon compiled algorithm to factor N = 21 [7]. Significantly, the algorithmic output exhibits structure that is distinguishable from noise, in contrast to previous demonstrations.

Original languageEnglish
DOIs
Publication statusPublished - 1 Jan 2013
Externally publishedYes
Event2013 Conference on Lasers and Electro-Optics Europe and International Quantum Electronics Conference, CLEO/Europe-IQEC 2013 - Munich, Germany
Duration: 12 May 201316 May 2013

Conference

Conference2013 Conference on Lasers and Electro-Optics Europe and International Quantum Electronics Conference, CLEO/Europe-IQEC 2013
Country/TerritoryGermany
CityMunich
Period12/05/1316/05/13

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